360413361 has 32 divisors (see below), whose sum is σ = 665702400. Its totient is φ = 187226640.

The previous prime is 360413327. The next prime is 360413393. The reversal of 360413361 is 163314063.

It is not a de Polignac number, because 360413361 - 2¹¹ = 360411313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (360413561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84601 + ... + 88758.

It is an arithmetic number, because the mean of its divisors is an integer number (20803200).

Almost surely, 2^360413361 is an apocalyptic number.

It is an amenable number.

360413361 is a deficient number, since it is larger than the sum of its proper divisors (305289039).

360413361 is a wasteful number, since it uses less digits than its factorization.

360413361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173386 (or 173380 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 360413361 is about 18984.5558546941. Note that the first 3 decimals coincide. The cubic root of 360413361 is about 711.6508310080.

The spelling of 360413361 in words is "three hundred sixty million, four hundred thirteen thousand, three hundred sixty-one".